ALGEBRA
( \frac{x}{2} + \frac{x}{5} )
( \frac{7x}{10} )
Name a quadrilateral that is always both a rectangle and a rhombus
Square
If the third side of a triangle is 14, what is the midsegment length?
7
If one angle of a parallelogram is 68°, what is an adjacent angle?
112°
If one base angle of an isosceles trapezoid is 50°, what is the adjacent top angle?
130°
( \frac{x+6}{4} \cdot \frac{2}{3} )
( \frac{x+6}{6} )
Which quadrilateral has diagonals that are perpendicular but not necessarily congruent?
Rhombus
What quadrilateral is formed by joining the midpoints of a rectangle?
Rhombus
$300If diagonals of a quadrilateral bisect each other, what can you conclude?
It is a parallelogram
Why are base angles of an isosceles trapezoid congruent?
Congruent legs create equal angles
( \frac{1}{7} \div \frac{7}{x} )
( \frac{x}{49} )
Which quadrilateral has congruent diagonals but is not always a parallelogram?
Isosceles trapezoid
Which quadrilaterals always have point symmetry?
Parallelograms
Name two different ways to prove a quadrilateral is a parallelogram
Opposite sides parallel; diagonals bisect
If the bases of a trapezoid are parallel, what must be true about angles on the same leg?
They are supplementary
( \frac{3x+3y}{x^2-y^2} )
( \frac{3}{x-y} )
Name a quadrilateral whose diagonals bisect each other but are not perpendicular
Rectangle
Why does a concave polygon fail to have point symmetry?
Rotation changes shape
Why does one pair of parallel sides alone not prove a parallelogram?
Need two pairs
Can an isosceles trapezoid have point symmetry? Explain
No, symmetry would require parallelogram
( \frac{3x+3y}{x^2-y^2} - \frac{1}{x-y} )
( \frac{2}{x-y} )
Can a kite be a parallelogram? Explain
Yes, if it is a rhombus
What shape is formed by connecting midpoints of a square?
Square
Can a parallelogram have perpendicular diagonals? Explain
Yes, if it is a rhombus
If both pairs of opposite angles are supplementary, what is the quadrilateral?
Parallelogram